Instability of Abrikosov lattice due to nonanalytic core reconstruction of vortices in Bosonic superfluids
Avraham Klein, Oded Agam, and Igor L. Aleiner

TL;DR
This paper investigates how non-analytic vortex core reconstructions destabilize the Abrikosov lattice in superfluids, leading to vortex deformations and ordered superstructures, with potential implications for superconducting films.
Contribution
It reveals the instability of the Abrikosov lattice caused by vortex core reconstruction and describes the resulting ordered superstructures in superfluids.
Findings
Vortex core deformation destabilizes the Abrikosov lattice.
Vortex core cuts form finite-length structures.
Ordered superstructures emerge from vortex orientation interactions.
Abstract
We study the impact of the non-analytic reconstruction of vortex cores on static vortex structures in weakly coupled superfluids. We show that in rotating two-dimensional systems, the Abrikosov vortex lattice is unstable to vortex core deformation: Each zero of the wave function becomes a cut of finite length. The directors characterizing the orientations of the cuts are themselves ordered in superstructures due either to surface effects or to interaction with shear deformations of the lattice (spiral structure). Similar instability may be also observable in clean superconducting films.
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